package com.wc.AlgoOJ_homework.AlgoOJ_BL4.C_选数异或;

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;

/**
 * @Author congge
 * @Date 2024/4/6 9:21
 * @description http://43.138.190.70:8888/p/532?tid=660a4f84d7ba43eb2f4c549d
 */
public class Main {
    static FastReader sc = new FastReader();
    static PrintWriter out = new PrintWriter(System.out);
    static int N = 20;
    static int[] map = new int[1 << N];
    // 满足要求的最先出现的f[i] 与当前满足要求的最近的位置
    static int[] f = new int[1 << N];
    static int n, m, x, a, l, r;

    // a ^ b = x ==> b = a ^ x
    public static void main(String[] args) {
        n = sc.nextInt();
        m = sc.nextInt();
        x = sc.nextInt();
        for (int i = 1; i <= n; i++) {
            a = sc.nextInt();
            f[i] = Math.max(f[i - 1], map[a ^ x]);
            map[a] = i;
        }
        while (m-- > 0) {
            l = sc.nextInt();
            r = sc.nextInt();
            if (f[r] >= l) out.println("yes");
            else out.println("no");
        }
        out.flush();
    }
}

class FastReader {
    StringTokenizer st;
    BufferedReader br;

    FastReader() {
        br = new BufferedReader(new InputStreamReader(System.in));
    }

    String next() {
        while (st == null || !st.hasMoreElements()) {
            try {
                st = new StringTokenizer(br.readLine());
            } catch (IOException e) {
                e.printStackTrace();
            }
        }
        return st.nextToken();
    }

    int nextInt() {
        return Integer.parseInt(next());
    }

    String nextLine() {
        String s = "";
        try {
            s = br.readLine();
        } catch (IOException e) {
            e.printStackTrace();
        }
        return s;
    }

    long nextLong() {
        return Long.parseLong(next());
    }

    double nextDouble() {
        return Double.parseDouble(next());
    }

    // 是否由下一个
    boolean hasNext() {
        while (st == null || !st.hasMoreTokens()) {
            try {
                String line = br.readLine();
                if (line == null)
                    return false;
                st = new StringTokenizer(line);
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return true;
    }
}
